AOE 4140: Homework 5
1. (40) A spacecraft has four attitude sensors, sensing four unit vectors, v k , k = 1, 2, 3,
4. We know that the first sensor (k = 1) is more accurate than the others, but we don't
know the relative accuracy of the others. At an inst

AOE 4140: Homework 4 Solution Process
1. (25) You are given the following matrix. Find the Euler axis of rotation (8) and the
corresponding angle of rotation (7). Find the Euler parameters (quaternions) (10). You
may use Matlab.
0.450484 0.780262 0.43388

AOE 4140: Homework 6 Solution Process
1. (30) Consider the rigid body example did in class but
assume that the density is not constant and it varies in
space according to = r3 . Compute:
a) The mass of the rigid body (10)
b) The first moment of inertia wi

AOE 4140: Homework 5
1. (40) A spacecraft has four attitude sensors, sensing four unit vectors, v k , k = 1, 2, 3,
4. We know that the first sensor (k = 1) is more accurate than the others, but we don't
know the relative accuracy of the others. At an inst

Chapter 1
Introduction
Spacecraft dynamics and control is a rich subject involving a variety of topics from
mechanics and control theory. In a rst course in dynamics, students learn that the
motion of a rigid body can be divided into two types of motion:

ICES at
Ice, Cloud and Land Elevation
Ice, Cloud and Land Elevation
satellite was launched 1/12/03
satellite was launched 1/12/03
into a 590 km sun-synch orbit
into a 590 km sun-synch orbit
Whats the inclination?
Whats the inclination?
Two single-axi

Co mpto n Gamma Ray Obs e rvato ry
Life time Re duc e d by ADCS Failure
At 35,000 lbs, CGRO was the largest LEO spacecraft
At 35,000 lbs, CGRO was the largest LEO spacecraft
ever launched on the Shuttle
ever launched on the Shuttle
Launched April 5, 19

AOE 4140: Homework 7 Solution Process
1. (60) Apply the PAT and Change of Basis theorem to the cylinder-panel
examined in class as follows.
a) Transfer the inertia matrix of the
cylinder to the mass center of the panel. (15)
b) Find the inertia matrix of